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Finding the Fourth Proportional to 13,807.98, 20,716.92 and 6,787.26

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Solution

The fourth proportional to 13,807.98, 20,716.92 and 6,787.26 is: 10,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.98 : 20,716.92 = 6,787.26 : x
  2. Step 2: Convert to fraction form
    13,807.98/20,716.92 = 6,787.26/x
  3. Step 3: Cross multiply
    13,807.98x = 20,716.92 × 6,787.26
  4. Step 4: Simplify right side
    13,807.98x = 140,611,122.44
  5. Step 5: Solve for x
    x = 140,611,122.44/13,807.98
  6. Step 6: Final answer
    x = 10,183.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.